In a food processor, pulse chick peas, olive oil, tahini, lime juice, and garlic until smooth, about 2 minutes. Season with salt and pepper to taste.
Add avocados and pulse mixture until smooth and creamy, about 1-2 minutes longer.
Transfer to a serving dish, finish with a sprinkle more sea salt, and a drizzle of olive oil. Serve with pita chips, veggies, or as a spread for tartine (which is a fancy French word for sliced bread).